{"id": "c590", "title": "C590 — Prove the ordinary Enoch center condition", "filename": "C590.md", "role": "Research action", "step": 590, "sha256": "7c3af593636514c437aa5ec1829f8abb4967cf6e80a7b35061979fd44d852fd1", "bytes": 1192, "origins": ["C480–C1634/Research_Cycles/C0532_C0631/journal.json#C590"], "download": "/sources/7c3af593636514c437aa5ec1829f8abb4967cf6e80a7b35061979fd44d852fd1.md", "format": "md", "derived": true, "tags": ["Counts & NT"], "excerpt": "When is Matthew birth the center of Luke birth and Enochic ascension?", "content": "# C590 — Prove the ordinary Enoch center condition\n\n## Question\n\nWhen is Matthew birth the center of Luke birth and Enochic ascension?\n\n## Inputs\n\n```json\n{\n  \"birth_counts\": [\n    70,\n    56,\n    43\n  ],\n  \"local_gap\": \"g\"\n}\n```\n\n## Sources\n\n```json\n[\n  \"File69 §§2.12–2.13,3.4–3.5\"\n]\n```\n\n## Opened utc\n\n2026-09-28T00:21:49.515057+00:00\n\n## Results\n\n```json\n{\n  \"triples_and_arms\": [\n    [\n      4836,\n      3856,\n      2876,\n      980,\n      980\n    ],\n    [\n      4976,\n      3968,\n      2960,\n      1008,\n      1008\n    ]\n  ],\n  \"symbolic_residual\": \"(u−g)/2\",\n  \"condition\": \"u=g\"\n}\n```\n\n## Finding\n\nThe ordinary center follows from the count relation70+43−2×56=1 and the local ascension subtraction g. Equal arms are980 or1008. It is a derived center, not an independently fitted midpoint.\n\n## Reassessment\n\nDetermine which endpoint roles preserve a center at generation resolution.\n\n## Checks\n\n```json\n{\n  \"count_identity\": true,\n  \"centers\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T00:21:49.515309+00:00\n\n## Record provenance\n\nExact record hash: `7a2ee05bc97091fedd441a62337d88fa397091286131ca3f20367bc2d732b1dd`\n\nSource journal: `Research_Cycles/C0532_C0631/journal.json`", "journalDownload": "/sources/7a2e1117efc741218b68e2db8bb20eadd33cab34e00384e9b903708031da1d2d.json", "evidenceLinks": [{"id": "d-e415d58136a6e9bc", "title": "File 69"}]}